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Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method

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DOI: 10.4236/am.2014.54056    5,249 Downloads   6,895 Views   Citations

ABSTRACT

A numerical method based on B-spline is developed to solve the time-dependent Emden-Fow- ler-type equations. We also present a reliable new algorithm based on B-spline to overcome the difficulty of the singular point at x = 0. The error analysis of the method is described. Numerical results are given to illustrate the efficiency of the proposed method.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

El-Gamel, M. , El-bashbashy, W. and El-Shenawy, A. (2014) Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method. Applied Mathematics, 5, 593-600. doi: 10.4236/am.2014.54056.

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